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Finding the Fourth Proportional to 27,710.91, 41,562.72 and 7,721.73

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Solution

The fourth proportional to 27,710.91, 41,562.72 and 7,721.73 is: 11,581.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,710.91 : 41,562.72 = 7,721.73 : x
  2. Step 2: Convert to fraction form
    27,710.91/41,562.72 = 7,721.73/x
  3. Step 3: Cross multiply
    27,710.91x = 41,562.72 × 7,721.73
  4. Step 4: Simplify right side
    27,710.91x = 320,936,101.91
  5. Step 5: Solve for x
    x = 320,936,101.91/27,710.91
  6. Step 6: Final answer
    x = 11,581.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.